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Finding the Fourth Proportional to 291,843.20, 437,710.80 and 81,437.60

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Solution

The fourth proportional to 291,843.20, 437,710.80 and 81,437.60 is: 122,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,843.20 : 437,710.80 = 81,437.60 : x
  2. Step 2: Convert to fraction form
    291,843.20/437,710.80 = 81,437.60/x
  3. Step 3: Cross multiply
    291,843.20x = 437,710.80 × 81,437.60
  4. Step 4: Simplify right side
    291,843.20x = 35,646,117,046.08
  5. Step 5: Solve for x
    x = 35,646,117,046.08/291,843.20
  6. Step 6: Final answer
    x = 122,141.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.